1982998080 has 672 divisors, whose sum is σ = 8520744960. Its totient is φ = 413061120.

The previous prime is 1982998079. The next prime is 1982998093. The reversal of 1982998080 is 808992891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11874157 + ... + 11874323.

It is an arithmetic number, because the mean of its divisors is an integer number (12679680).

Almost surely, 2^1982998080 is an apocalyptic number.

1982998080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260372480).

1982998080 is an abundant number, since it is smaller than the sum of its proper divisors (6537746880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1982998080 is a wasteful number, since it uses less digits than its factorization.

1982998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 1982998080 is about 44530.8665983495. The cubic root of 1982998080 is about 1256.3407057102.

The spelling of 1982998080 in words is "one billion, nine hundred eighty-two million, nine hundred ninety-eight thousand, eighty".